Articles with the control tag

Control: Controllability and Observability

The state space equations are given by:

\begin{align*} x'(t) = Ax(t) + Bu(t)\\ y(t) = Cx(t) + Du(t) \end{align*}

If we discretize the system, the equation can be written as:

\begin{align*} x(n+1) = A_dx(n) + B_du(n)\\ y(n) = C_dx(n …